Abstract

We demonstrate, for the first time to our knowledge, reconstruction of the structure of a long-period grating from its measured core-to-core transmission spectrum intensity. The reconstruction is obtained by writing an auxiliary grating in cascade to the interrogated grating. Our reconstruction technique is based on using the Hilbert transform and a phase-retrieval algorithm. Using our method, we have reconstructed the structure of a uniform long-period grating with a 47% coupling efficiency.

© 2005 Optical Society of America

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  1. A. Rosenthal and M. Horowitz, IEEE J. Quantum Electron. 39, 1018 (2003).
    [CrossRef]
  2. S. Keren, A. Rosenthal, and M. Horowitz, IEEE Photon. Technol. Lett. 15, 575 (2003).
    [CrossRef]
  3. M. Sumetsky, P. I. Reyes, P. S. Westbrook, N. M. Litchinitser, B. J. Eggleton, Y. Li, R. Deshmukh, and C. Soccolich, Opt. Lett. 28, 777 (2003).
  4. S. Keren and M. Horowitz, Opt. Lett. 28, 2037 (2003).
  5. L. Wang and T. Erdogan, Electron. Lett. 37, 154 (2001).
  6. A. Rosenthal and M. Horowitz, 'Reconstruction of long-period fiber gratings from their core-to-core transmission function,' J. Opt. Soc. Am. A (to be published).
  7. M. Otto, F. Michael, T. Duthel, and C. Shäffer, in Proceedings of the 2002 IEEE/LEOS Workshop on Fibre and Optical Passive components (Institute of Electrical and Electronics Engineers, 2002), pp. 6-11.
  8. T. R. Crimmins and J. R. Fienup, J. Opt. Soc. Am. 73, 218 (1983).
  9. H. Takajo, T. Shizuma, T. Takahashi, and S. Takahata, Appl. Opt. 38, 5568 (1999).
  10. A. Papoulis, The Fourier Integral and Its Applications (McGraw-Hill, 1962).
  11. M. J. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transform (Society for Applied Mathematics, 1981).

2003

A. Rosenthal and M. Horowitz, IEEE J. Quantum Electron. 39, 1018 (2003).
[CrossRef]

S. Keren, A. Rosenthal, and M. Horowitz, IEEE Photon. Technol. Lett. 15, 575 (2003).
[CrossRef]

M. Sumetsky, P. I. Reyes, P. S. Westbrook, N. M. Litchinitser, B. J. Eggleton, Y. Li, R. Deshmukh, and C. Soccolich, Opt. Lett. 28, 777 (2003).

S. Keren and M. Horowitz, Opt. Lett. 28, 2037 (2003).

2001

L. Wang and T. Erdogan, Electron. Lett. 37, 154 (2001).

1999

1983

Ablowitz, M. J.

M. J. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transform (Society for Applied Mathematics, 1981).

Crimmins, T. R.

Deshmukh, R.

Duthel, T.

M. Otto, F. Michael, T. Duthel, and C. Shäffer, in Proceedings of the 2002 IEEE/LEOS Workshop on Fibre and Optical Passive components (Institute of Electrical and Electronics Engineers, 2002), pp. 6-11.

Eggleton, B. J.

Erdogan, T.

L. Wang and T. Erdogan, Electron. Lett. 37, 154 (2001).

Fienup, J. R.

Horowitz, M.

S. Keren, A. Rosenthal, and M. Horowitz, IEEE Photon. Technol. Lett. 15, 575 (2003).
[CrossRef]

S. Keren and M. Horowitz, Opt. Lett. 28, 2037 (2003).

A. Rosenthal and M. Horowitz, IEEE J. Quantum Electron. 39, 1018 (2003).
[CrossRef]

A. Rosenthal and M. Horowitz, 'Reconstruction of long-period fiber gratings from their core-to-core transmission function,' J. Opt. Soc. Am. A (to be published).

Keren, S.

S. Keren, A. Rosenthal, and M. Horowitz, IEEE Photon. Technol. Lett. 15, 575 (2003).
[CrossRef]

S. Keren and M. Horowitz, Opt. Lett. 28, 2037 (2003).

Li, Y.

Litchinitser, N. M.

Michael, F.

M. Otto, F. Michael, T. Duthel, and C. Shäffer, in Proceedings of the 2002 IEEE/LEOS Workshop on Fibre and Optical Passive components (Institute of Electrical and Electronics Engineers, 2002), pp. 6-11.

Otto, M.

M. Otto, F. Michael, T. Duthel, and C. Shäffer, in Proceedings of the 2002 IEEE/LEOS Workshop on Fibre and Optical Passive components (Institute of Electrical and Electronics Engineers, 2002), pp. 6-11.

Papoulis, A.

A. Papoulis, The Fourier Integral and Its Applications (McGraw-Hill, 1962).

Reyes, P. I.

Rosenthal, A.

A. Rosenthal and M. Horowitz, IEEE J. Quantum Electron. 39, 1018 (2003).
[CrossRef]

S. Keren, A. Rosenthal, and M. Horowitz, IEEE Photon. Technol. Lett. 15, 575 (2003).
[CrossRef]

A. Rosenthal and M. Horowitz, 'Reconstruction of long-period fiber gratings from their core-to-core transmission function,' J. Opt. Soc. Am. A (to be published).

Segur, H.

M. J. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transform (Society for Applied Mathematics, 1981).

Shäffer, C.

M. Otto, F. Michael, T. Duthel, and C. Shäffer, in Proceedings of the 2002 IEEE/LEOS Workshop on Fibre and Optical Passive components (Institute of Electrical and Electronics Engineers, 2002), pp. 6-11.

Shizuma, T.

Soccolich, C.

Sumetsky, M.

Takahashi, T.

Takahata, S.

Takajo, H.

Wang, L.

L. Wang and T. Erdogan, Electron. Lett. 37, 154 (2001).

Westbrook, P. S.

Appl. Opt.

Electron. Lett.

L. Wang and T. Erdogan, Electron. Lett. 37, 154 (2001).

IEEE J. Quantum Electron.

A. Rosenthal and M. Horowitz, IEEE J. Quantum Electron. 39, 1018 (2003).
[CrossRef]

IEEE Photon. Technol. Lett.

S. Keren, A. Rosenthal, and M. Horowitz, IEEE Photon. Technol. Lett. 15, 575 (2003).
[CrossRef]

J. Opt. Soc. Am.

Opt. Lett.

Other

A. Rosenthal and M. Horowitz, 'Reconstruction of long-period fiber gratings from their core-to-core transmission function,' J. Opt. Soc. Am. A (to be published).

M. Otto, F. Michael, T. Duthel, and C. Shäffer, in Proceedings of the 2002 IEEE/LEOS Workshop on Fibre and Optical Passive components (Institute of Electrical and Electronics Engineers, 2002), pp. 6-11.

A. Papoulis, The Fourier Integral and Its Applications (McGraw-Hill, 1962).

M. J. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transform (Society for Applied Mathematics, 1981).

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